Answer
$9900$ ways.
Work Step by Step
The Fundamental Counting Principle:
The number of ways in which a series of successive things can occur is found by multiplying the number of ways in which each thing can occur.
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1. You can choose a 1st prize winner in 100 ways.
2. You can choose a 2nd prize winner (from the 99 remaining) in 99 ways
Total ways = $100\times 99=9900$ ways.
